Regular Article - Theoretical Physics
Rest frames and relativistic effects on de Sitter spacetimes
West University of Timişoara, V. Pârvan Ave. 4, 300223, Timişoara, Romania
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Accepted: 28 June 2017
Published online: 20 July 2017
It is shown that the Nachtmann boosting method of introducing coordinates on de Sitter manifolds can be completed with suitable gauge transformations able to keep under control the transformation under isometries of the conserved quantities. With this method, the rest local charts (or natural frames) are defined pointing out the role of the conserved quantities in investigating the relative geodesic motion. The advantages of this approach can be seen from the applications presented here. For the first time, the simple kinematic effects, the electromagnetic field of a free falling charge and the binary fission are solved in terms of conserved quantities on the expanding portion of the de Sitter spacetime.
© The Author(s), 2017